By V. Kokilashvili (auth.), Alexandre Almeida, Luís Castro, Frank-Olme Speck (eds.)

This quantity is devoted to Professor Stefan Samko at the social gathering of his 70th birthday. The contributions exhibit the diversity of his medical pursuits in harmonic research and operator thought. specific recognition is paid to fractional integrals and derivatives, singular, hypersingular and power operators in variable exponent areas, pseudodifferential operators in quite a few smooth functionality and distribution areas, in addition to similar purposes, to say yet a couple of. so much contributions have been to begin with awarded in meetings at Lisbon and Aveiro, Portugal, in June‒July 2011.

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139–164. Cambridge Scientific Publishers, 2008. [85] V. Kokilashvili and S. Samko, Operators of harmonic analysis in weighted spaces with non-standard growth. J. Math. Anal. Appl. 352 (2009), 15–34. 056. [86] V. Kokilashvili and S. Samko, A refined inverse inequality of approximation in weighted variance exponent Lebesgue spaces. Proc. A. Razmadze Math. Inst. 151 (2009), 134–138. [87] V. Kokilashvili and S. Samko, Boundedness of weighted singular integral operators on a Carleson curves in Grand Lebesgue spaces.

Appl. Anal. 11:4 (2008), 407–420. 36 V. Kokilashvili [13] Ya. Erusalimskii, A. Kilbas, V. Kokilashvili, V. Rabinovich, and S. Samko, In memoriam: Nikolai Karapetyants. Fract. Calc. Appl. Anal. 7:4 (2004), 475–478. D. , General singular equation on a disclosed contour. page 41. The international Congress of Mathematicians. Moscow. Abstracts of short communications, Functional Analysis, 5, Nauka, 1966. D. I. , Increment of the argument, logarithmic residue and a generalized principle of the argument.

Exchange 20:1 (1994/95), 140–157. [118] N. Samko and S. Samko, On approximative definition of fractional differentiation. Fract. Calc. Appl. Anal. 2:3 (1999), 329–342. [119] N. Samko, S. Samko, and B. Vakulov, Weighted Sobolev theorem in Lebesgue spaces with variable exponent. J. Math. Anal. and Appl. 335 (2007), 560–583. [120] N. Samko, S. Samko, and B. Vakulov, Potential type operators and hypersingular integrals in variable order H¨ older spaces on homogeneous spaces. (Russian) Izv. Severo-Kavk.

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